# Questions tagged [uniform]

The uniform distribution describes a random variable that is equally likely to take any value in its sample space.

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### Help with the posterior of a uniform distribution with a parameter that is uniformly distributed

Here is the question: My main issue is with the marginal distribution of θ, I know that the sampling distribution is 1/(θ^n), but what interval do we integrate on, it can't be [0, 1] because that ...
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### Why is Entropy maximised when the probability distribution is uniform?

I know that entropy is the measure of randomness of a process/variable and it can be defined as follows. for a random variable $X \in$ set $A$ :- $H(X)= \sum_{x_i \in A} -p(x_i) \log (p(x_i))$. In ...
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### Express the posterior distribution: $P(L|X_{1:N})$ using Baye's Rule in terms of the Uniform Distribution

$f(Z; A, B) = \frac{1}{B-A+1}$ if $A ≤ Z ≤ B$, 0 otherwise $(1)$ $P(L) = f(L; 1, M)$, (the prior) $(2)$ $P(X|L) = f(X; 1, L)$ (the likelihood of a single license plate number X) $(3)$ We further ...
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### Does runif (R) ever return 0/1 [closed]

The title says it all. Can it happen that runif (with bounds 0 and 1) returns 0 or 1 in R?
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### Jointly Complete Sufficient Statistics: Uniform(a, b)

Let $\mathbf{X}= (x_1, x_2, \dots x_n)$ be a random sample from the uniform distribution on $(a,b)$, where $a < b$. Let $Y_1$ and $Y_n$ be the largest and smallest order statistics. Show that ...
Let $U_1, \dots, U_n$ be a random sample of uniform distribution over $[a,1]$. Construct a confidence interval for $a$ with $1-\alpha = 0.95$. I managed to show that $T = \min\{U_i\}$ is ...